Details

Time bar (total: 32.8s)

sample22.0ms

Algorithm
intervals
Results
7.0ms256×pre80true
7.0ms256×body80valid

simplify24.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
24.0ms
(* (+ a b) (+ a b))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ a b) (+ a b))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-cbrt-cube add-exp-log
2×associate-*l/ associate-*r/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod insert-posit16 add-log-exp unswap-sqr
Counts
1 → 41
Calls
1 calls:
Slowest
22.0ms
(* (+ a b) (+ a b))

series16.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
16.0ms
(* (+ a b) (+ a b))

simplify2.8s

Counts
45 → 44
Calls
45 calls:
Slowest
362.0ms
(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))
302.0ms
(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
237.0ms
(* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b)))
230.0ms
(* (- a b) (+ (* a a) (- (* b b) (* a b))))
178.0ms
(* (+ (pow a 3) (pow b 3)) (+ a b))

prune369.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (+ (* a 2) b) b) (* a a))
0.0b
(* (+ (* a 2) b) b)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*l/ flip-+ insert-posit16
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
Slowest
22.0ms
(+ (* (+ (* a 2) b) b) (* a a))
19.0ms
(* (+ (* a 2) b) b)

series76.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(* (+ (* a 2) b) b)
31.0ms
(+ (* (+ (* a 2) b) b) (* a a))

simplify1.3s

Counts
18 → 39
Calls
18 calls:
Slowest
261.0ms
(* (exp (* (+ (* a 2) b) b)) (exp (* a a)))
257.0ms
(* (- (* (* a 2) (* a 2)) (* b b)) b)
189.0ms
(* (+ (pow (* a 2) 3) (pow b 3)) b)
137.0ms
(* (* (* (+ (* a 2) b) (+ (* a 2) b)) (+ (* a 2) b)) (* (* b b) b))
78.0ms
(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))

prune302.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* b (+ a b))
0.0b
(+ (* a (+ a b)) (* b (+ a b)))
0.0b
(* a (+ a b))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
7×pow1 flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
6×associate-*l*
5×add-log-exp
4×distribute-rgt-in distribute-lft-in frac-add
3×insert-posit16
2×associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative sum-log distribute-rgt-out
Counts
3 → 69
Calls
3 calls:
Slowest
28.0ms
(+ (* a (+ a b)) (* b (+ a b)))
25.0ms
(* b (+ a b))
25.0ms
(* a (+ a b))

series120.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
45.0ms
(* b (+ a b))
42.0ms
(* a (+ a b))
33.0ms
(+ (* a (+ a b)) (* b (+ a b)))

simplify3.2s

Counts
54 → 78
Calls
54 calls:
Slowest
406.0ms
(* (exp (* a (+ a b))) (exp (* b (+ a b))))
384.0ms
(+ (* (* a (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b)))) (* (+ (* a a) (- (* b b) (* a b))) (* b (+ (pow a 3) (pow b 3)))))
357.0ms
(+ (* (* a (- (* a a) (* b b))) (+ (* a a) (- (* b b) (* a b)))) (* (- a b) (* b (+ (pow a 3) (pow b 3)))))
304.0ms
(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))
233.0ms
(* (- a b) (+ (* a a) (- (* b b) (* a b))))

prune616.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (- (* a a) (* b b)) (+ (* b (* b b)) (* a (* a a))))
0.3b
(/ (* (- (* a a) (* b b)) (+ (* b (* b b)) (* a (* a a)))) (* (+ (* b b) (* a (- a b))) (- a b)))
0.3b
(* (+ (* b b) (* a (- a b))) (- a b))
0.3b
(* a (* a a))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube add-exp-log
22×pow1
16×add-sqr-sqrt frac-times
12×flip3-+ flip3-- flip-+ flip--
11×*-un-lft-identity
10×associate-*r* associate-*l*
9×prod-exp add-cube-cbrt cbrt-unprod
8×associate-*l/ associate-*r/ associate-/r/ associate-/l/
5×pow-prod-down pow-prod-up
4×cbrt-undiv div-exp insert-posit16 add-log-exp
3×distribute-rgt-in distribute-lft-in cube-unmult *-commutative unswap-sqr
2×sub-neg difference-of-squares
1×pow2 clear-num associate-/r* frac-2neg times-frac pow-plus pow-sqr sum-cubes div-inv associate-/l* distribute-lft-out--
Counts
4 → 127
Calls
4 calls:
Slowest
126.0ms
(* (- (* a a) (* b b)) (+ (* b (* b b)) (* a (* a a))))
75.0ms
(/ (* (- (* a a) (* b b)) (+ (* b (* b b)) (* a (* a a)))) (* (+ (* b b) (* a (- a b))) (- a b)))
56.0ms
(* (+ (* b b) (* a (- a b))) (- a b))
16.0ms
(* a (* a a))

series374.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
150.0ms
(* (- (* a a) (* b b)) (+ (* b (* b b)) (* a (* a a))))
108.0ms
(/ (* (- (* a a) (* b b)) (+ (* b (* b b)) (* a (* a a)))) (* (+ (* b b) (* a (- a b))) (- a b)))
60.0ms
(* (+ (* b b) (* a (- a b))) (- a b))
56.0ms
(* a (* a a))

simplify20.8s

Counts
108 → 139
Calls
108 calls:
Slowest
739.0ms
(* (+ (pow (* b b) 3) (pow (* a (- a b)) 3)) (- a b))
627.0ms
(* (* (* a a) a) (* (* (* a a) a) (* (* a a) a)))
563.0ms
(* (- (* (* b b) (* b b)) (* (* a (- a b)) (* a (- a b)))) (- (pow a 3) (pow b 3)))
554.0ms
(* (- (* a a) (* b b)) (+ (* b (* b b)) (* a (* a a))))
551.0ms
(* (- (* (* b b) (* b b)) (* (* a (- a b)) (* a (- a b)))) (- a b))

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch1.0ms

end0.0ms

sample867.0ms

Algorithm
intervals
Results
357.0ms8000×pre80true
352.0ms8000×body80valid